Book contents
- Frontmatter
- Contents
- Preface
- Part I Ramification of Henselian Discrete Valuation Fields
- Part II Cyclic Extensions
- Part III Conductor and Refinements
- Part IV Geometric Applications
- Part V Upper Ramification Subgroups
- 11 Stable Integral Models
- 12 Upper Ramification Subgroups
- 13 Logarithmic Variant and Artin–Schreier–Witt Extensions
- Part VI Graded Quotients and Characteristic Forms
- Solutions to Exercises
- References
- Index
11 - Stable Integral Models
from Part V - Upper Ramification Subgroups
Published online by Cambridge University Press: 29 May 2026
Book contents
- Frontmatter
- Contents
- Preface
- Part I Ramification of Henselian Discrete Valuation Fields
- Part II Cyclic Extensions
- Part III Conductor and Refinements
- Part IV Geometric Applications
- Part V Upper Ramification Subgroups
- 11 Stable Integral Models
- 12 Upper Ramification Subgroups
- 13 Logarithmic Variant and Artin–Schreier–Witt Extensions
- Part VI Graded Quotients and Characteristic Forms
- Solutions to Exercises
- References
- Index
Summary
From this chapter on, we study upper ramification subgroups. In this chapter we introduce a geometric constuction used in the definition of the upper ramification subgroups. We take an immersion to a smooth scheme, take a dilatation, and construct a stable integral model by taking a base change and normalization. The existence of stable integral models is a consequence of the reduced fiber theorem proved in Chapter 9. As an example, we compute the construction in the monogenic case explicitly.
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- Information
- Ramification Groups of Local Fieldswith Geometric Applications, pp. 260 - 283Publisher: Cambridge University PressPrint publication year: 2026
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